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Reviews of topical problems


Non-equilibrium thermodynamics and kinetic theory of rarefied gases

 a,  b
a Moscow State Engineering Physics Institute (State University), Kashirskoe shosse 31, Moscow, 115409, Russian Federation
b Institute of Physical Chemistry, Russian Academy of Sciences, Leninsky prosp. 31, Moscow, 119991, Russian Federation

The relation between the non-equilibrium thermodynamics and kinetic theory of rarefied gases is discussed. The phenomenological equations of generalized non-equilibrium thermodynamics are formulated using the fundamental relations of kinetic theory. Using the approach developed, the non-equilibrium thermodynamics of a multicomponent gas mixture are formulated for the moment method and Burnett approximation and the boundary conditions including the slip and jump effects are derived for slightly rarefied gases. An application to transport processes in discontinuous systems and gas flows over solid bodies is also made.

Fulltext pdf (455 KB)
Fulltext is also available at DOI: 10.1070/PU1998v041n04ABEH000383
PACS: 05.70.Ln
DOI: 10.1070/PU1998v041n04ABEH000383
URL: https://ufn.ru/en/articles/1998/4/b/
000074653300002
Citation: Zhdanov V M, Roldugin V I "Non-equilibrium thermodynamics and kinetic theory of rarefied gases" Phys. Usp. 41 349–378 (1998)
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Оригинал: Жданов В М, Ролдугин В И «Неравновесная термодинамика и кинетическая теория разреженных газов» УФН 168 407–438 (1998); DOI: 10.3367/UFNr.0168.199804b.0407

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  1. S.P. Bakanov, B.V. Deryagin, V.I. Roldugin “Thermophoresis in gases” 22 813–825 (1979)
  2. Yu.L. Klimontovich “Problems in the statistical theory of open systems: Criteria for the relative degree of order in self-organization processes” 32 416–433 (1989)
  3. M.N. Kogan, V.S. Galkin, O.G. Fridlender “Stresses produced in gasses by temperature and concentration inhomogeneities. New types of free convection” 19 420–428 (1976)
  4. A.M. Glezer, R.V. Sundeev et al “Physics of severe plastic deformation” 66 32–58 (2023)
  5. S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium” 34 (3) 217–229 (1991)
  6. A.I. Olemskoi “Supersymmetric field theory of a nonequilibrium stochastic system as applied to disordered heteropolymers” 44 479–513 (2001)
  7. A.I. Olemskoi, I.V. Koplyk “The theory of spatiotemporal evolution of nonequilibrium thermodynamic systems” 38 1061–1097 (1995)
  8. A.P. Gerasev “Nonequilibrium thermodynamics of autowave processes in a catalyst bed” 47 991–1016 (2004)
  9. B.V. Alekseev “Physical fundamentals of the generalized Boltzmann kinetic theory of ionized gases” 46 139–167 (2003)
  10. A.V. Khomenko, I.A. Lyashenko “Statistical theory of the boundary friction of atomically flat solid surfaces in the presence of a lubricant layer” 55 1008–1034 (2012)
  11. D.V. Alexandrov, P.K. Galenko “Dendrite growth under forced convection: analysis methods and experimental tests” 57 771–786 (2014)
  12. V.N. Ryzhov, E.E. Tareyeva et al “Berezinskii—Kosterlitz—Thouless transition and two-dimensional melting” 60 857–885 (2017)
  13. L.M. Martyushev “Мaximum entropy production principle: history and current status” 64 558–583 (2021)
  14. G.A. Malygin “Dislocation self-organization processes and crystal plasticity” 42 887 (1999)
  15. V.K. Vanag “Study of spatially extended dynamical systems using probabilistic cellular automata” 42 413–434 (1999)
  16. A.G. Merzhanov, É.N. Rumanov “Nonlinear effects in macroscopic kinetics” 30 293–316 (1987)
  17. G.R. Ivanitskii “The self-organizing dynamic stability of far-from-equilibrium biological systems” 60 705–730 (2017)
  18. V.D. Gorobchenko, E.G. Maksimov “The dielectric constant of an interacting electron gas” 23 35–58 (1980)
  19. B.P. Antonyuk, V.B. Antonyuk “Self-organization of excitations in Ge-doped silica fibers and its role in second harmonic generation” 44 53–70 (2001)
  20. G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From the dynamics of population autowaves generated by living cells to neuroinformatics” 37 961–989 (1994)

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